461976904 has 48 divisors (see below), whose sum is σ = 925494480. Its totient is φ = 216142080.

The previous prime is 461976901. The next prime is 461976917. The reversal of 461976904 is 409679164.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (461976901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487359 + ... + 488305.

It is an arithmetic number, because the mean of its divisors is an integer number (19281135).

Almost surely, 2^461976904 is an apocalyptic number.

It is an amenable number.

461976904 is an abundant number, since it is smaller than the sum of its proper divisors (463517576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461976904 is a wasteful number, since it uses less digits than its factorization.

461976904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 461976904 is about 21493.6479919068. The cubic root of 461976904 is about 773.0485229112.

The spelling of 461976904 in words is "four hundred sixty-one million, nine hundred seventy-six thousand, nine hundred four".